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Finding the Fourth Proportional to 819.54, 1,223.01 and 731.96

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Solution

The fourth proportional to 819.54, 1,223.01 and 731.96 is: 1,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.54 : 1,223.01 = 731.96 : x
  2. Step 2: Convert to fraction form
    819.54/1,223.01 = 731.96/x
  3. Step 3: Cross multiply
    819.54x = 1,223.01 × 731.96
  4. Step 4: Simplify right side
    819.54x = 895,185.54
  5. Step 5: Solve for x
    x = 895,185.54/819.54
  6. Step 6: Final answer
    x = 1,092.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.